@article{article_1060267, title={Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function}, journal={Journal of New Theory}, pages={25–33}, year={2022}, DOI={10.53570/jnt.1060267}, author={Abubakar, Umar Muhammad}, keywords={Beta function, hypergeometric function, fractional calculus, pochhemmer symbol, integral transforms}, abstract={The main objective of this paper is to use the newly proposed $(p,q;l)$-extended beta function to introduce the $(p,q;l)$-extended $τ$-Gauss hypergeometric and the $(p,q;l)$-extended $τ$-confluent hypergeometric functions with some of their properties, such as the Laplace-type and the Euler-type integral formulas. Another is to apply them to fractional kinetic equations that appear in astrophysics and physics using the Laplace transform method.}, number={38}, publisher={Naim ÇAĞMAN}